/* Subroutine */ int cckgqr_(integer *nm, integer *mval, integer *np, integer
*pval, integer *nn, integer *nval, integer *nmats, integer *iseed,
real *thresh, integer *nmax, complex *a, complex *af, complex *aq,
complex *ar, complex *taua, complex *b, complex *bf, complex *bz,
complex *bt, complex *bwk, complex *taub, complex *work, real *rwork,
integer *nin, integer *nout, integer *info)
{
/* Format strings */
static char fmt_9999[] = "(\002 CLATMS in CCKGQR: INFO = \002,i5)";
static char fmt_9998[] = "(\002 M=\002,i4,\002 P=\002,i4,\002, N=\002,"
"i4,\002, type \002,i2,\002, test \002,i2,\002, ratio=\002,g13.6)";
static char fmt_9997[] = "(\002 N=\002,i4,\002 M=\002,i4,\002, P=\002,"
"i4,\002, type \002,i2,\002, test \002,i2,\002, ratio=\002,g13.6)";
/* System generated locals */
integer i__1, i__2, i__3, i__4;
/* Builtin functions
Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
static char path[3];
static integer imat;
static char type__[1];
static integer nrun, i__, m, n, p, modea, modeb, nfail;
static char dista[1], distb[1];
static integer iinfo;
static real anorm, bnorm;
static integer lwork;
extern /* Subroutine */ int slatb9_(char *, integer *, integer *, integer
*, integer *, char *, integer *, integer *, integer *, integer *,
real *, real *, integer *, integer *, real *, real *, char *,
char *), alahdg_(integer *, char *
);
static integer im, in, ip;
static real cndnma, cndnmb;
static integer nt;
extern /* Subroutine */ int alareq_(char *, integer *, logical *, integer
*, integer *, integer *), alasum_(char *, integer *,
integer *, integer *, integer *), clatms_(integer *,
integer *, char *, integer *, char *, real *, integer *, real *,
real *, integer *, integer *, char *, complex *, integer *,
complex *, integer *), cgqrts_(integer *,
integer *, integer *, complex *, complex *, complex *, complex *,
integer *, complex *, complex *, complex *, complex *, complex *,
complex *, integer *, complex *, complex *, integer *, real *,
real *);
static logical dotype[8];
extern /* Subroutine */ int cgrqts_(integer *, integer *, integer *,
complex *, complex *, complex *, complex *, integer *, complex *,
complex *, complex *, complex *, complex *, complex *, integer *,
complex *, complex *, integer *, real *, real *);
static logical firstt;
static real result[7];
static integer lda, ldb, kla, klb, kua, kub;
/* Fortran I/O blocks */
static cilist io___30 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___31 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___35 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___36 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___37 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9997, 0 };
/* -- LAPACK test routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
March 31, 1993
Purpose
=======
CCKGQR tests
CGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B,
CGGRQF: GRQ factorization for M-by-N matrix A and P-by-N matrix B.
Arguments
=========
NM (input) INTEGER
The number of values of M contained in the vector MVAL.
MVAL (input) INTEGER array, dimension (NM)
The values of the matrix row(column) dimension M.
NP (input) INTEGER
The number of values of P contained in the vector PVAL.
PVAL (input) INTEGER array, dimension (NP)
The values of the matrix row(column) dimension P.
NN (input) INTEGER
The number of values of N contained in the vector NVAL.
NVAL (input) INTEGER array, dimension (NN)
The values of the matrix column(row) dimension N.
NMATS (input) INTEGER
The number of matrix types to be tested for each combination
of matrix dimensions. If NMATS >= NTYPES (the maximum
number of matrix types), then all the different types are
generated for testing. If NMATS < NTYPES, another input line
is read to get the numbers of the matrix types to be used.
ISEED (input/output) INTEGER array, dimension (4)
On entry, the seed of the random number generator. The array
elements should be between 0 and 4095, otherwise they will be
reduced mod 4096, and ISEED(4) must be odd.
On exit, the next seed in the random number sequence after
all the test matrices have been generated.
THRESH (input) REAL
The threshold value for the test ratios. A result is
included in the output file if RESULT >= THRESH. To have
every test ratio printed, use THRESH = 0.
NMAX (input) INTEGER
The maximum value permitted for M or N, used in dimensioning
the work arrays.
A (workspace) COMPLEX array, dimension (NMAX*NMAX)
AF (workspace) COMPLEX array, dimension (NMAX*NMAX)
AQ (workspace) COMPLEX array, dimension (NMAX*NMAX)
AR (workspace) COMPLEX array, dimension (NMAX*NMAX)
TAUA (workspace) COMPLEX array, dimension (NMAX)
B (workspace) COMPLEX array, dimension (NMAX*NMAX)
BF (workspace) COMPLEX array, dimension (NMAX*NMAX)
BZ (workspace) COMPLEX array, dimension (NMAX*NMAX)
BT (workspace) COMPLEX array, dimension (NMAX*NMAX)
BWK (workspace) COMPLEX array, dimension (NMAX*NMAX)
TAUB (workspace) COMPLEX array, dimension (NMAX)
WORK (workspace) COMPLEX array, dimension (NMAX*NMAX)
RWORK (workspace) REAL array, dimension (NMAX)
NIN (input) INTEGER
The unit number for input.
NOUT (input) INTEGER
The unit number for output.
INFO (output) INTEGER
= 0 : successful exit
> 0 : If CLATMS returns an error code, the absolute value
of it is returned.
=====================================================================
Initialize constants.
Parameter adjustments */
--rwork;
--work;
--taub;
--bwk;
--bt;
--bz;
--bf;
--b;
--taua;
--ar;
--aq;
--af;
--a;
--iseed;
--nval;
--pval;
--mval;
/* Function Body */
s_copy(path, "GQR", (ftnlen)3, (ftnlen)3);
*info = 0;
nrun = 0;
nfail = 0;
firstt = TRUE_;
alareq_(path, nmats, dotype, &c__8, nin, nout);
lda = *nmax;
ldb = *nmax;
lwork = *nmax * *nmax;
/* Do for each value of M in MVAL. */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
/* Do for each value of P in PVAL. */
i__2 = *np;
for (ip = 1; ip <= i__2; ++ip) {
p = pval[ip];
/* Do for each value of N in NVAL. */
i__3 = *nn;
for (in = 1; in <= i__3; ++in) {
n = nval[in];
for (imat = 1; imat <= 8; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat - 1]) {
goto L30;
}
/* Test CGGRQF
Set up parameters with SLATB9 and generate test
matrices A and B with CLATMS. */
slatb9_("GRQ", &imat, &m, &p, &n, type__, &kla, &kua, &
klb, &kub, &anorm, &bnorm, &modea, &modeb, &
cndnma, &cndnmb, dista, distb);
clatms_(&m, &n, dista, &iseed[1], type__, &rwork[1], &
modea, &cndnma, &anorm, &kla, &kua, "No packing",
&a[1], &lda, &work[1], &iinfo);
if (iinfo != 0) {
io___30.ciunit = *nout;
s_wsfe(&io___30);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L30;
}
clatms_(&p, &n, distb, &iseed[1], type__, &rwork[1], &
modeb, &cndnmb, &bnorm, &klb, &kub, "No packing",
&b[1], &ldb, &work[1], &iinfo);
if (iinfo != 0) {
io___31.ciunit = *nout;
s_wsfe(&io___31);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L30;
}
nt = 4;
cgrqts_(&m, &p, &n, &a[1], &af[1], &aq[1], &ar[1], &lda, &
taua[1], &b[1], &bf[1], &bz[1], &bt[1], &bwk[1], &
ldb, &taub[1], &work[1], &lwork, &rwork[1],
result);
/* Print information about the tests that did not
pass the threshold. */
i__4 = nt;
for (i__ = 1; i__ <= i__4; ++i__) {
if (result[i__ - 1] >= *thresh) {
if (nfail == 0 && firstt) {
firstt = FALSE_;
alahdg_(nout, "GRQ");
}
io___35.ciunit = *nout;
s_wsfe(&io___35);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[i__ - 1], (ftnlen)
sizeof(real));
e_wsfe();
++nfail;
}
/* L10: */
}
nrun += nt;
/* Test CGGQRF
Set up parameters with SLATB9 and generate test
matrices A and B with CLATMS. */
slatb9_("GQR", &imat, &m, &p, &n, type__, &kla, &kua, &
klb, &kub, &anorm, &bnorm, &modea, &modeb, &
cndnma, &cndnmb, dista, distb);
clatms_(&n, &m, dista, &iseed[1], type__, &rwork[1], &
modea, &cndnma, &anorm, &kla, &kua, "No packing",
&a[1], &lda, &work[1], &iinfo);
if (iinfo != 0) {
io___36.ciunit = *nout;
s_wsfe(&io___36);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L30;
}
clatms_(&n, &p, distb, &iseed[1], type__, &rwork[1], &
modea, &cndnma, &bnorm, &klb, &kub, "No packing",
&b[1], &ldb, &work[1], &iinfo);
if (iinfo != 0) {
io___37.ciunit = *nout;
s_wsfe(&io___37);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L30;
}
nt = 4;
cgqrts_(&n, &m, &p, &a[1], &af[1], &aq[1], &ar[1], &lda, &
taua[1], &b[1], &bf[1], &bz[1], &bt[1], &bwk[1], &
ldb, &taub[1], &work[1], &lwork, &rwork[1],
result);
/* Print information about the tests that did not
pass the threshold. */
i__4 = nt;
for (i__ = 1; i__ <= i__4; ++i__) {
if (result[i__ - 1] >= *thresh) {
if (nfail == 0 && firstt) {
firstt = FALSE_;
alahdg_(nout, path);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[i__ - 1], (ftnlen)
sizeof(real));
e_wsfe();
++nfail;
}
/* L20: */
}
nrun += nt;
L30:
;
}
/* L40: */
}
/* L50: */
}
/* L60: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &c__0);
return 0;
/* End of CCKGQR */
} /* cckgqr_ */
/* Subroutine */ int ccklse_(integer *nn, integer *mval, integer *pval,
integer *nval, integer *nmats, integer *iseed, real *thresh, integer *
nmax, complex *a, complex *af, complex *b, complex *bf, complex *x,
complex *work, real *rwork, integer *nin, integer *nout, integer *
info)
{
/* Format strings */
static char fmt_9997[] = "(\002 *** Invalid input for LSE: M = \002,"
"i6,\002, P = \002,i6,\002, N = \002,i6,\002;\002,/\002 must "
"satisfy P <= N <= P+M \002,\002(this set of values will be skip"
"ped)\002)";
static char fmt_9999[] = "(\002 CLATMS in CCKLSE INFO = \002,i5)";
static char fmt_9998[] = "(\002 M=\002,i4,\002 P=\002,i4,\002, N=\002,"
"i4,\002, type \002,i2,\002, test \002,i2,\002, ratio=\002,g13.6)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5, i__6, i__7;
/* Builtin functions
Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsle(cilist *), e_wsle(void), s_wsfe(cilist *), do_fio(integer *
, char *, ftnlen), e_wsfe(void);
/* Local variables */
static integer imat;
static char path[3], type__[1];
static integer nrun, i__, m, n, p, modea, modeb, nfail;
static char dista[1], distb[1];
static integer iinfo;
static real anorm, bnorm;
static integer lwork;
extern /* Subroutine */ int slatb9_(char *, integer *, integer *, integer
*, integer *, char *, integer *, integer *, integer *, integer *,
real *, real *, integer *, integer *, real *, real *, char *,
char *), alahdg_(integer *, char *
);
static integer ik;
static real cndnma, cndnmb;
static integer nt;
extern /* Subroutine */ int alareq_(char *, integer *, logical *, integer
*, integer *, integer *), clarhs_(char *, char *, char *,
char *, integer *, integer *, integer *, integer *, integer *,
complex *, integer *, complex *, integer *, complex *, integer *,
integer *, integer *), alasum_(
char *, integer *, integer *, integer *, integer *),
clatms_(integer *, integer *, char *, integer *, char *, real *,
integer *, real *, real *, integer *, integer *, char *, complex *
, integer *, complex *, integer *),
clsets_(integer *, integer *, integer *, complex *, complex *,
integer *, complex *, complex *, integer *, complex *, complex *,
complex *, complex *, complex *, complex *, integer *, real *,
real *);
static logical dotype[8], firstt;
static real result[7];
static integer lda, ldb, kla, klb, kua, kub;
/* Fortran I/O blocks */
static cilist io___13 = { 0, 0, 0, 0, 0 };
static cilist io___14 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___30 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___31 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___35 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
March 31, 1993
Purpose
=======
CCKLSE tests CGGLSE - a subroutine for solving linear equality
constrained least square problem (LSE).
Arguments
=========
NN (input) INTEGER
The number of values of (M,P,N) contained in the vectors
(MVAL, PVAL, NVAL).
MVAL (input) INTEGER array, dimension (NN)
The values of the matrix row(column) dimension M.
PVAL (input) INTEGER array, dimension (NN)
The values of the matrix row(column) dimension P.
NVAL (input) INTEGER array, dimension (NN)
The values of the matrix column(row) dimension N.
NMATS (input) INTEGER
The number of matrix types to be tested for each combination
of matrix dimensions. If NMATS >= NTYPES (the maximum
number of matrix types), then all the different types are
generated for testing. If NMATS < NTYPES, another input line
is read to get the numbers of the matrix types to be used.
ISEED (input/output) INTEGER array, dimension (4)
On entry, the seed of the random number generator. The array
elements should be between 0 and 4095, otherwise they will be
reduced mod 4096, and ISEED(4) must be odd.
On exit, the next seed in the random number sequence after
all the test matrices have been generated.
THRESH (input) REAL
The threshold value for the test ratios. A result is
included in the output file if RESULT >= THRESH. To have
every test ratio printed, use THRESH = 0.
NMAX (input) INTEGER
The maximum value permitted for M or N, used in dimensioning
the work arrays.
A (workspace) COMPLEX array, dimension (NMAX*NMAX)
AF (workspace) COMPLEX array, dimension (NMAX*NMAX)
B (workspace) COMPLEX array, dimension (NMAX*NMAX)
BF (workspace) COMPLEX array, dimension (NMAX*NMAX)
X (workspace) COMPLEX array, dimension (5*NMAX)
WORK (workspace) COMPLEX array, dimension (NMAX*NMAX)
RWORK (workspace) REAL array, dimension (NMAX)
NIN (input) INTEGER
The unit number for input.
NOUT (input) INTEGER
The unit number for output.
INFO (output) INTEGER
= 0 : successful exit
> 0 : If CLATMS returns an error code, the absolute value
of it is returned.
=====================================================================
Initialize constants and the random number seed.
Parameter adjustments */
--rwork;
--work;
--x;
--bf;
--b;
--af;
--a;
--iseed;
--nval;
--pval;
--mval;
/* Function Body */
s_copy(path, "LSE", (ftnlen)3, (ftnlen)3);
*info = 0;
nrun = 0;
nfail = 0;
firstt = TRUE_;
alareq_(path, nmats, dotype, &c__8, nin, nout);
lda = *nmax;
ldb = *nmax;
lwork = *nmax * *nmax;
/* Check for valid input values. */
i__1 = *nn;
for (ik = 1; ik <= i__1; ++ik) {
m = mval[ik];
p = pval[ik];
n = nval[ik];
if (p > n || n > m + p) {
if (firstt) {
io___13.ciunit = *nout;
s_wsle(&io___13);
e_wsle();
firstt = FALSE_;
}
io___14.ciunit = *nout;
s_wsfe(&io___14);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
e_wsfe();
}
/* L10: */
}
firstt = TRUE_;
/* Do for each value of M in MVAL. */
i__1 = *nn;
for (ik = 1; ik <= i__1; ++ik) {
m = mval[ik];
p = pval[ik];
n = nval[ik];
if (p > n || n > m + p) {
goto L40;
}
for (imat = 1; imat <= 8; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat - 1]) {
goto L30;
}
/* Set up parameters with SLATB9 and generate test
matrices A and B with CLATMS. */
slatb9_(path, &imat, &m, &p, &n, type__, &kla, &kua, &klb, &kub, &
anorm, &bnorm, &modea, &modeb, &cndnma, &cndnmb, dista,
distb);
clatms_(&m, &n, dista, &iseed[1], type__, &rwork[1], &modea, &
cndnma, &anorm, &kla, &kua, "No packing", &a[1], &lda, &
work[1], &iinfo);
if (iinfo != 0) {
io___30.ciunit = *nout;
s_wsfe(&io___30);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
goto L30;
}
clatms_(&p, &n, distb, &iseed[1], type__, &rwork[1], &modeb, &
cndnmb, &bnorm, &klb, &kub, "No packing", &b[1], &ldb, &
work[1], &iinfo);
if (iinfo != 0) {
io___31.ciunit = *nout;
s_wsfe(&io___31);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
goto L30;
}
/* Generate the right-hand sides C and D for the LSE.
Computing MAX */
i__3 = m - 1;
i__2 = max(i__3,0);
/* Computing MAX */
i__5 = n - 1;
i__4 = max(i__5,0);
i__6 = max(n,1);
i__7 = max(m,1);
clarhs_("CGE", "New solution", "Upper", "N", &m, &n, &i__2, &i__4,
&c__1, &a[1], &lda, &x[(*nmax << 2) + 1], &i__6, &x[1], &
i__7, &iseed[1], &iinfo);
/* Computing MAX */
i__3 = p - 1;
i__2 = max(i__3,0);
/* Computing MAX */
i__5 = n - 1;
i__4 = max(i__5,0);
i__6 = max(n,1);
i__7 = max(p,1);
clarhs_("CGE", "Computed", "Upper", "N", &p, &n, &i__2, &i__4, &
c__1, &b[1], &ldb, &x[(*nmax << 2) + 1], &i__6, &x[(*nmax
<< 1) + 1], &i__7, &iseed[1], &iinfo);
nt = 2;
clsets_(&m, &p, &n, &a[1], &af[1], &lda, &b[1], &bf[1], &ldb, &x[
1], &x[*nmax + 1], &x[(*nmax << 1) + 1], &x[*nmax * 3 + 1]
, &x[(*nmax << 2) + 1], &work[1], &lwork, &rwork[1],
result);
/* Print information about the tests that did not
pass the threshold. */
i__2 = nt;
for (i__ = 1; i__ <= i__2; ++i__) {
if (result[i__ - 1] >= *thresh) {
if (nfail == 0 && firstt) {
firstt = FALSE_;
alahdg_(nout, path);
}
io___35.ciunit = *nout;
s_wsfe(&io___35);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[i__ - 1], (ftnlen)sizeof(
real));
e_wsfe();
++nfail;
}
/* L20: */
}
nrun += nt;
L30:
;
}
L40:
;
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &c__0);
return 0;
/* End of CCKLSE */
} /* ccklse_ */
/* Subroutine */ int cckglm_(integer *nn, integer *nval, integer *mval,
integer *pval, integer *nmats, integer *iseed, real *thresh, integer *
nmax, complex *a, complex *af, complex *b, complex *bf, complex *x,
complex *work, real *rwork, integer *nin, integer *nout, integer *
info)
{
/* Format strings */
static char fmt_9997[] = "(\002 *** Invalid input for GLM: M = \002,"
"i6,\002, P = \002,i6,\002, N = \002,i6,\002;\002,/\002 must "
"satisfy M <= N <= M+P \002,\002(this set of values will be skip"
"ped)\002)";
static char fmt_9999[] = "(\002 CLATMS in CCKGLM INFO = \002,i5)";
static char fmt_9998[] = "(\002 N=\002,i4,\002 M=\002,i4,\002, P=\002,"
"i4,\002, type \002,i2,\002, test \002,i2,\002, ratio=\002,g13.6)";
/* System generated locals */
integer i__1, i__2, i__3;
complex q__1;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsle(cilist *), e_wsle(void), s_wsfe(cilist *), do_fio(integer *
, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, m, n, p, ik, lda, ldb, kla, klb, kua, kub, imat;
char path[3], type__[1];
integer nrun, modea, modeb, nfail;
char dista[1], distb[1];
integer iinfo;
real resid, anorm, bnorm;
integer lwork;
extern /* Subroutine */ int slatb9_(char *, integer *, integer *, integer
*, integer *, char *, integer *, integer *, integer *, integer *,
real *, real *, integer *, integer *, real *, real *, char *,
char *), alahdg_(integer *, char *
);
real cndnma, cndnmb;
extern /* Complex */ VOID clarnd_(complex *, integer *, integer *);
extern /* Subroutine */ int alareq_(char *, integer *, logical *, integer
*, integer *, integer *), alasum_(char *, integer *,
integer *, integer *, integer *), clatms_(integer *,
integer *, char *, integer *, char *, real *, integer *, real *,
real *, integer *, integer *, char *, complex *, integer *,
complex *, integer *), cglmts_(integer *,
integer *, integer *, complex *, complex *, integer *, complex *,
complex *, integer *, complex *, complex *, complex *, complex *,
complex *, integer *, real *, real *);
logical dotype[8], firstt;
/* Fortran I/O blocks */
static cilist io___13 = { 0, 0, 0, 0, 0 };
static cilist io___14 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___30 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___31 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___34 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CCKGLM tests CGGGLM - subroutine for solving generalized linear */
/* model problem. */
/* Arguments */
/* ========= */
/* NN (input) INTEGER */
/* The number of values of N, M and P contained in the vectors */
/* NVAL, MVAL and PVAL. */
/* NVAL (input) INTEGER array, dimension (NN) */
/* The values of the matrix row dimension N. */
/* MVAL (input) INTEGER array, dimension (NN) */
/* The values of the matrix column dimension M. */
/* PVAL (input) INTEGER array, dimension (NN) */
/* The values of the matrix column dimension P. */
/* NMATS (input) INTEGER */
/* The number of matrix types to be tested for each combination */
/* of matrix dimensions. If NMATS >= NTYPES (the maximum */
/* number of matrix types), then all the different types are */
/* generated for testing. If NMATS < NTYPES, another input line */
/* is read to get the numbers of the matrix types to be used. */
/* ISEED (input/output) INTEGER array, dimension (4) */
/* On entry, the seed of the random number generator. The array */
/* elements should be between 0 and 4095, otherwise they will be */
/* reduced mod 4096, and ISEED(4) must be odd. */
/* On exit, the next seed in the random number sequence after */
/* all the test matrices have been generated. */
/* THRESH (input) REAL */
/* The threshold value for the test ratios. A result is */
/* included in the output file if RESID >= THRESH. To have */
/* every test ratio printed, use THRESH = 0. */
/* NMAX (input) INTEGER */
/* The maximum value permitted for M or N, used in dimensioning */
/* the work arrays. */
/* A (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* AF (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* B (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* BF (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* X (workspace) COMPLEX array, dimension (4*NMAX) */
/* RWORK (workspace) REAL array, dimension (NMAX) */
/* WORK (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* NIN (input) INTEGER */
/* The unit number for input. */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* INFO (output) INTEGER */
/* = 0 : successful exit */
/* > 0 : If CLATMS returns an error code, the absolute value */
/* of it is returned. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants. */
/* Parameter adjustments */
--rwork;
--work;
--x;
--bf;
--b;
--af;
--a;
--iseed;
--pval;
--mval;
--nval;
/* Function Body */
s_copy(path, "GLM", (ftnlen)3, (ftnlen)3);
*info = 0;
nrun = 0;
nfail = 0;
firstt = TRUE_;
alareq_(path, nmats, dotype, &c__8, nin, nout);
lda = *nmax;
ldb = *nmax;
lwork = *nmax * *nmax;
/* Check for valid input values. */
i__1 = *nn;
for (ik = 1; ik <= i__1; ++ik) {
m = mval[ik];
p = pval[ik];
n = nval[ik];
if (m > n || n > m + p) {
if (firstt) {
io___13.ciunit = *nout;
s_wsle(&io___13);
e_wsle();
firstt = FALSE_;
}
io___14.ciunit = *nout;
s_wsfe(&io___14);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
e_wsfe();
}
/* L10: */
}
firstt = TRUE_;
/* Do for each value of M in MVAL. */
i__1 = *nn;
for (ik = 1; ik <= i__1; ++ik) {
m = mval[ik];
p = pval[ik];
n = nval[ik];
if (m > n || n > m + p) {
goto L40;
}
for (imat = 1; imat <= 8; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat - 1]) {
goto L30;
}
/* Set up parameters with SLATB9 and generate test */
/* matrices A and B with CLATMS. */
slatb9_(path, &imat, &m, &p, &n, type__, &kla, &kua, &klb, &kub, &
anorm, &bnorm, &modea, &modeb, &cndnma, &cndnmb, dista,
distb);
clatms_(&n, &m, dista, &iseed[1], type__, &rwork[1], &modea, &
cndnma, &anorm, &kla, &kua, "No packing", &a[1], &lda, &
work[1], &iinfo);
if (iinfo != 0) {
io___30.ciunit = *nout;
s_wsfe(&io___30);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
goto L30;
}
clatms_(&n, &p, distb, &iseed[1], type__, &rwork[1], &modeb, &
cndnmb, &bnorm, &klb, &kub, "No packing", &b[1], &ldb, &
work[1], &iinfo);
if (iinfo != 0) {
io___31.ciunit = *nout;
s_wsfe(&io___31);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
goto L30;
}
/* Generate random left hand side vector of GLM */
i__2 = n;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__;
clarnd_(&q__1, &c__2, &iseed[1]);
x[i__3].r = q__1.r, x[i__3].i = q__1.i;
/* L20: */
}
cglmts_(&n, &m, &p, &a[1], &af[1], &lda, &b[1], &bf[1], &ldb, &x[
1], &x[*nmax + 1], &x[(*nmax << 1) + 1], &x[*nmax * 3 + 1]
, &work[1], &lwork, &rwork[1], &resid);
/* Print information about the tests that did not */
/* pass the threshold. */
if (resid >= *thresh) {
if (nfail == 0 && firstt) {
firstt = FALSE_;
alahdg_(nout, path);
}
io___34.ciunit = *nout;
s_wsfe(&io___34);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&resid, (ftnlen)sizeof(real));
e_wsfe();
++nfail;
}
++nrun;
L30:
;
}
L40:
;
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &c__0);
return 0;
/* End of CCKGLM */
} /* cckglm_ */
/* Subroutine */ int cckgsv_(integer *nm, integer *mval, integer *pval,
integer *nval, integer *nmats, integer *iseed, real *thresh, integer *
nmax, complex *a, complex *af, complex *b, complex *bf, complex *u,
complex *v, complex *q, real *alpha, real *beta, complex *r__,
integer *iwork, complex *work, real *rwork, integer *nin, integer *
nout, integer *info)
{
/* Format strings */
static char fmt_9999[] = "(\002 CLATMS in CCKGSV INFO = \002,i5)";
static char fmt_9998[] = "(\002 M=\002,i4,\002 P=\002,i4,\002, N=\002,"
"i4,\002, type \002,i2,\002, test \002,i2,\002, ratio=\002,g13.6)";
/* System generated locals */
integer i__1, i__2;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, m, n, p, im, nt, lda, ldb, kla, klb, kua, kub, ldq, ldr, ldu,
ldv, imat;
char path[3], type__[1];
integer nrun, modea, modeb, nfail;
char dista[1], distb[1];
integer iinfo;
real anorm, bnorm;
integer lwork;
extern /* Subroutine */ int slatb9_(char *, integer *, integer *, integer
*, integer *, char *, integer *, integer *, integer *, integer *,
real *, real *, integer *, integer *, real *, real *, char *,
char *), alahdg_(integer *, char *
);
real cndnma, cndnmb;
extern /* Subroutine */ int alareq_(char *, integer *, logical *, integer
*, integer *, integer *), alasum_(char *, integer *,
integer *, integer *, integer *), clatms_(integer *,
integer *, char *, integer *, char *, real *, integer *, real *,
real *, integer *, integer *, char *, complex *, integer *,
complex *, integer *);
logical dotype[8];
extern /* Subroutine */ int cgsvts_(integer *, integer *, integer *,
complex *, complex *, integer *, complex *, complex *, integer *,
complex *, integer *, complex *, integer *, complex *, integer *,
real *, real *, complex *, integer *, integer *, complex *,
integer *, real *, real *);
logical firstt;
real result[7];
/* Fortran I/O blocks */
static cilist io___32 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___33 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___37 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CCKGSV tests CGGSVD: */
/* the GSVD for M-by-N matrix A and P-by-N matrix B. */
/* Arguments */
/* ========= */
/* NM (input) INTEGER */
/* The number of values of M contained in the vector MVAL. */
/* MVAL (input) INTEGER array, dimension (NM) */
/* The values of the matrix row dimension M. */
/* PVAL (input) INTEGER array, dimension (NP) */
/* The values of the matrix row dimension P. */
/* NVAL (input) INTEGER array, dimension (NN) */
/* The values of the matrix column dimension N. */
/* NMATS (input) INTEGER */
/* The number of matrix types to be tested for each combination */
/* of matrix dimensions. If NMATS >= NTYPES (the maximum */
/* number of matrix types), then all the different types are */
/* generated for testing. If NMATS < NTYPES, another input line */
/* is read to get the numbers of the matrix types to be used. */
/* ISEED (input/output) INTEGER array, dimension (4) */
/* On entry, the seed of the random number generator. The array */
/* elements should be between 0 and 4095, otherwise they will be */
/* reduced mod 4096, and ISEED(4) must be odd. */
/* On exit, the next seed in the random number sequence after */
/* all the test matrices have been generated. */
/* THRESH (input) REAL */
/* The threshold value for the test ratios. A result is */
/* included in the output file if RESULT >= THRESH. To have */
/* every test ratio printed, use THRESH = 0. */
/* NMAX (input) INTEGER */
/* The maximum value permitted for M or N, used in dimensioning */
/* the work arrays. */
/* A (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* AF (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* B (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* BF (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* U (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* V (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* Q (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* ALPHA (workspace) REAL array, dimension (NMAX) */
/* BETA (workspace) REAL array, dimension (NMAX) */
/* R (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* WORK (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* RWORK (workspace) REAL array, dimension (NMAX) */
/* NIN (input) INTEGER */
/* The unit number for input. */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* INFO (output) INTEGER */
/* = 0 : successful exit */
/* > 0 : If CLATMS returns an error code, the absolute value */
/* of it is returned. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
/* Parameter adjustments */
--rwork;
--work;
--iwork;
--r__;
--beta;
--alpha;
--q;
--v;
--u;
--bf;
--b;
--af;
--a;
--iseed;
--nval;
--pval;
--mval;
/* Function Body */
s_copy(path, "GSV", (ftnlen)3, (ftnlen)3);
*info = 0;
nrun = 0;
nfail = 0;
firstt = TRUE_;
alareq_(path, nmats, dotype, &c__8, nin, nout);
lda = *nmax;
ldb = *nmax;
ldu = *nmax;
ldv = *nmax;
ldq = *nmax;
ldr = *nmax;
lwork = *nmax * *nmax;
/* Do for each value of M in MVAL. */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
p = pval[im];
n = nval[im];
for (imat = 1; imat <= 8; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat - 1]) {
goto L20;
}
/* Set up parameters with SLATB9 and generate test */
/* matrices A and B with CLATMS. */
slatb9_(path, &imat, &m, &p, &n, type__, &kla, &kua, &klb, &kub, &
anorm, &bnorm, &modea, &modeb, &cndnma, &cndnmb, dista,
distb);
/* Generate M by N matrix A */
clatms_(&m, &n, dista, &iseed[1], type__, &rwork[1], &modea, &
cndnma, &anorm, &kla, &kua, "No packing", &a[1], &lda, &
work[1], &iinfo);
if (iinfo != 0) {
io___32.ciunit = *nout;
s_wsfe(&io___32);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
goto L20;
}
/* Generate P by N matrix B */
clatms_(&p, &n, distb, &iseed[1], type__, &rwork[1], &modeb, &
cndnmb, &bnorm, &klb, &kub, "No packing", &b[1], &ldb, &
work[1], &iinfo);
if (iinfo != 0) {
io___33.ciunit = *nout;
s_wsfe(&io___33);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
goto L20;
}
nt = 6;
cgsvts_(&m, &p, &n, &a[1], &af[1], &lda, &b[1], &bf[1], &ldb, &u[
1], &ldu, &v[1], &ldv, &q[1], &ldq, &alpha[1], &beta[1], &
r__[1], &ldr, &iwork[1], &work[1], &lwork, &rwork[1],
result);
/* Print information about the tests that did not */
/* pass the threshold. */
i__2 = nt;
for (i__ = 1; i__ <= i__2; ++i__) {
if (result[i__ - 1] >= *thresh) {
if (nfail == 0 && firstt) {
firstt = FALSE_;
alahdg_(nout, path);
}
io___37.ciunit = *nout;
s_wsfe(&io___37);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[i__ - 1], (ftnlen)sizeof(
real));
e_wsfe();
++nfail;
}
/* L10: */
}
nrun += nt;
L20:
;
}
/* L30: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &c__0);
return 0;
/* End of CCKGSV */
} /* cckgsv_ */
